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Finding the Fourth Proportional to 186,188,544,891.60, 279,282,817,337.40 and 186,188,544,891.60

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Solution

The fourth proportional to 186,188,544,891.60, 279,282,817,337.40 and 186,188,544,891.60 is: 279,282,817,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,188,544,891.60 : 279,282,817,337.40 = 186,188,544,891.60 : x
  2. Step 2: Convert to fraction form
    186,188,544,891.60/279,282,817,337.40 = 186,188,544,891.60/x
  3. Step 3: Cross multiply
    186,188,544,891.60x = 279,282,817,337.40 × 186,188,544,891.60
  4. Step 4: Simplify right side
    186,188,544,891.60x = 51,999,261,373,277,025,599,488
  5. Step 5: Solve for x
    x = 51,999,261,373,277,025,599,488/186,188,544,891.60
  6. Step 6: Final answer
    x = 279,282,817,337.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.